2240320000 has 100 divisors (see below), whose sum is σ = 5594338926. Its totient is φ = 896000000.

The previous prime is 2240319973. The next prime is 2240320007. The reversal of 2240320000 is 230422.

It can be written as a sum of positive squares in 5 ways, for example, as 10969344 + 2229350656 = 3312^2 + 47216^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (2240320007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 316500 + ... + 323500.

Almost surely, 2^2240320000 is an apocalyptic number.

2240320000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797169463).

2240320000 is an abundant number, since it is smaller than the sum of its proper divisors (3354018926).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2240320000 is an frugal number, since it uses more digits than its factorization.

2240320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7039 (or 7008 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 2240320000 is about 47332.0187610881. The cubic root of 2240320000 is about 1308.4888271337.

Adding to 2240320000 its reverse (230422), we get a palindrome (2240550422).

The spelling of 2240320000 in words is "two billion, two hundred forty million, three hundred twenty thousand".